A  400 turn solenoid with a length of 20.0 cm and a radius of 2.70 cm carries a current of 2.00 A. A second coil of four turns is wrapped tightly around this solenoid, so it can be considered to have the same radius as the solenoid. The current in the 400 turn solenoid then increases steadily to 4.00 A in 0.600 s. (d)  Calculate the change in the magnetic flux through the 4 turn coil during the same period.  (e) Calculate the average induced emf in the 4 turn coil. Is it equal to the instantaneous induced emf?

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A  400 turn solenoid with a length of 20.0 cm and a radius of 2.70 cm carries a current of 2.00 A. A second coil of four turns is wrapped tightly around this solenoid, so it can be considered to have the same radius as the solenoid. The current in the 400 turn solenoid then increases steadily to 4.00 A in 0.600 s. (d)  Calculate the change in the magnetic flux through the 4 turn coil during the same period. 

(e) Calculate the average induced emf in the 4 turn coil. Is it equal to the instantaneous induced emf? 

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